Public Member Functions |
ZpzDom< IntType > & | operator= (const ZpzDom< IntType > &F) |
| Copy.
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| ZpzDom () |
| Constructor.
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| ZpzDom (Residu_t p) |
| Constructor.
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| ZpzDom (const ZpzDom< IntType > &F) |
| Constructor.
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int | operator== (const ZpzDom< IntType > &BC) const |
| (in)Equality
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int | operator!= (const ZpzDom< IntType > &BC) const |
| (in)Equality
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int | areEqual (const Rep &a, const Rep &b) const |
| (in)Equality
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Residu_t | residu () const |
| Access to the modulus.
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Residu_t | size () const |
| Access to the modulus.
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Rep | access (const Rep &a) const |
| Access to the modulus.
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Residu_t | characteristic () const |
| Access to the modulus.
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Residu_t | characteristic (Residu_t p) const |
| Access to the modulus.
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Residu_t | cardinality () const |
| Access to the modulus.
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Rep & | init (Rep &a) const |
| Init a representation.
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void | init (const size_t, Array a, constArray b) const |
| Init a representation.
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Rep & | init (Rep &r, const long int a) const |
| Init a representation.
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Rep & | init (Rep &r, const unsigned long int a) const |
| Init a representation.
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Rep & | init (Rep &a, const int i) const |
| Init a representation.
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Rep & | init (Rep &a, const unsigned int i) const |
| Init a representation.
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Rep & | init (Rep &a, const IntType &i) const |
| Init a representation.
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Rep & | init (Rep &a, const double i) const |
| Init a representation.
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Rep & | init (Rep &a, const float i) const |
| Init a representation.
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float & | convert (float &r, const Rep &a) const |
| Conversion.
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double & | convert (double &r, const Rep &a) const |
| Conversion.
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long int & | convert (long int &r, const Rep &a) const |
| Conversion.
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unsigned long int & | convert (unsigned long int &r, const Rep &a) const |
| Conversion.
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IntType & | convert (IntType &i, const Rep &a) const |
| Conversion.
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int | isZero (const Rep &a) const |
| Misc methods.
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int | isOne (const Rep &a) const |
| Misc methods.
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size_t | length (const Rep &a) const |
| Misc methods.
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Rep & | mul (Rep &r, const Rep &a, const Rep &b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | div (Rep &r, const Rep &a, const Rep &b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | add (Rep &r, const Rep &a, const Rep &b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | sub (Rep &r, const Rep &a, const Rep &b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | neg (Rep &r, const Rep &a) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | inv (Rep &r, const Rep &a) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | mulin (Rep &r, const Rep &a) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | divin (Rep &r, const Rep &a) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | addin (Rep &r, const Rep &a) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | subin (Rep &r, const Rep &a) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | negin (Rep &r) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | invin (Rep &r) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | mul (const size_t sz, Array r, constArray a, constArray b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | mul (const size_t sz, Array r, constArray a, const Rep &b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | div (const size_t sz, Array r, constArray a, constArray b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | div (const size_t sz, Array r, constArray a, const Rep &b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | add (const size_t sz, Array r, constArray a, constArray b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | add (const size_t sz, Array r, constArray a, const Rep &b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | sub (const size_t sz, Array r, constArray a, constArray b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | sub (const size_t sz, Array r, constArray a, const Rep &b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | neg (const size_t sz, Array r, constArray a) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | inv (const size_t sz, Array r, constArray a) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | axpy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | axpy (const size_t sz, Array r, constArray a, constArray x, constArray c) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | axpyin (Rep &r, const Rep &a, const Rep &b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | axpyin (const size_t sz, Array r, constArray a, constArray x) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | axmy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | axmy (const size_t sz, Array r, constArray a, constArray x, constArray c) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | axmyin (Rep &r, const Rep &a, const Rep &b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | maxpy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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Rep & | maxpyin (Rep &r, const Rep &a, const Rep &b) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | maxpyin (const size_t sz, Array r, constArray a, constArray x) const |
| Operations with reduction: r <- a op b mod p, r <- op a mod p.
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void | assign (const size_t sz, Array r, constArray a) const |
| Misc: r <- a mod p.
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Rep & | assign (Rep &r, const Rep &a) const |
| Misc: r <- a mod p.
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Rep & | assign (Rep &r, const long a) const |
| Misc: r <- a mod p.
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Rep & | assign (Rep &r, const unsigned long a) const |
| Misc: r <- a mod p.
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Rep & | assign (Rep &r, const short a) const |
| Misc: r <- a mod p.
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Rep & | assign (Rep &r, const unsigned short a) const |
| Misc: r <- a mod p.
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Rep & | reduceadd (Rep &r, const size_t sz, constArray a) const |
| Misc.
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Rep & | reducemul (Rep &r, const size_t sz, constArray a) const |
| Misc.
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void | i2d (const size_t sz, double *r, constArray a) const |
| Misc.
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void | d2i (const size_t sz, Array r, const double *a) const |
| Misc.
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std::istream & | read (std::istream &s) |
| IO methods.
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std::ostream & | write (std::ostream &s) const |
| IO methods.
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std::istream & | read (std::istream &s, Rep &a) const |
| IO methods.
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std::ostream & | write (std::ostream &s, const Rep &a) const |
| IO methods.
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template<typename IntType>
class Givaro::ZpzDom< IntType >
This class implement the standard arithmetic with Modulo Elements.
- The representation of an integer a in Zpz is the value a % p